Opinions may vary. But I don't think that writing letters or appealing a government official makes you political or non-neutral. If an atheist writes a letter to the JW HQ in Warwick about child abuse policies, does that make him a religious person?
Bible is full of narratives showing connections between worshipers and political authorities:
Abraham warred with King Chedorlaomer to save Lot
Moses and Aaron appealed Egyptian Pharaoh to let the Israelite's go.
Nehemiah appealed King Artaxerxes to allow him to fix the walls of Jerusalem.
In Acts 5, the apostles squarely told the high priest of the Sanhedrin that they won't stop preaching
Paul appealed to Caesar during his stint with Festus.
JW's do not vote and remain neutral. However, individual JW's pay their taxes and are eligible for the rights and civil liberties of the country where they live.
If JW's can send disaster relief funds to their fellow believers in other countries, then I'm ok with them writing letters in support of fellow JW's in other countries.
These are the words of Patriarch Krill of the Russian orthodox church:
"We must learn to be kind to each other. It is not necessary to have evil in my heart, even if you do not agree with each other. Do not get angry, do not squeeze the teeth, do not wish harm to another person. This is the beginning of love."